we can see that the function C(x) = 25x + 75 represents the labor cost (in dollars) for Bob's Auto Repair to replace your alternator, where x is the number of hours. We can use this function to find the cost of replacing an alternator that is estimated to take 5 hours of labor.
C(5) = 25(5) + 75 = 125 + 75 = 200
We also have the labor cost for the main competitor, Budget Auto Repair, in a table format.
Hours Cost
1 $90
2 $130
3 $170
We can see that the cost of labor increases as the number of hours increases. From the information provided it's hard to say which company would be cheaper to hire, however the company with the function C(x) = 25x + 75 would be cheaper if the alternator takes more than 4 hours of labor, otherwise Budget Auto Repair would be cheaper.
It's important to check the warranty, prices of parts, and reputation of both companies. If a company has a good reputation and a good warranty, it may be worth paying a little more for labor.
It's also a good idea to get a second opinion or ask for a quote from both companies before making a decision.
In conclusion, it's hard to say which company would be cheaper to hire based on the information provided, but it's recommended to check the warranty, prices of parts, and reputation of both companies, and to get a second opinion or quote from both companies before making a decision.
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1- The area of a parallelogram is 507 cm2. Its height is six times its base. Find the height and base.
Answer:
507=b x (3 x b)
507=b x 3b
507=3b^2
b^2=507/3
b^2=169
b=13
h=3 x b
h=3 x 13
h=39
Step-by-step explanation:
The height and base of the parallelogram is b = 13 cm and h = 78 cm
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the area of the parallelogram be represented as A
Now , the value of A = b x h
where the base of the parallelogram is b
The height of the parallelogram is h
So , 507 = b x h
And , height is three times its base
So , h = ( b x 3 )
On simplifying , we get
507 = b ( b x 3 )
507 = 3b²
Divide by 3 on both sides , we get
b² = 169
Taking square roots on both sides , we get
b = 13 cm
So , the height of the parallelogram is h = 78 cm
Hence , the parallelogram is solved
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Which equation represents a line which is parallel to the line y=2x-5
1. 2x+y=8
2.x+2y=-4
3.y-2x=-8
4.x-2y=6
Answer:
3
Step-by-step explanation:
when two lines are parallel, they have the same slope
you can find slop by changing the equation to slope intercept form (y=mx+b), m being the slope
slopes:
1. -2
2. -1/2
3. 2
4. 1/2
Answer:
3. y-2x=-8
Step-by-step explanation:
how to find cp if loss and sp are given
Step-by-step explanation:
[tex] \tt{ \: H \: E \: Y \: \: T \: H \: E \: R\: E \: }[/tex] !
When Loss and Selling price ( SP ) are given , Cost price ( CP ) can be found out using the following formulae :
✰ [tex] \large{ \boxed{ \boxed{ \tt{CP = Loss + SP}}}}[/tex]
[tex] \text{How \: did\: we \:get \:the \: formula : \: CP \: = Loss \: + \: SP} \: [/tex] ?
We simply derived the formula from Loss = CP - SP.
First , Swap the sides of the equation :
⟶ [tex] \text{CP - SP = Loss}[/tex]
Move SP to right hand side and change it's sign :
⟶[tex] \text{CP = Loss + SP}[/tex]
This is how , CP can be obtained when we are given loss and SP.
Hope I helped ! ♡
Have a wonderful day / night ! ツ
# [tex] \underbrace{ \tt{C \: a \: r \: r \: y \: \: O \:n \: \: L \: e \: a \: r \: n \: i \: n \: g}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
"An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and direction that the plane would have gone if there had been no wind".
Answer:
vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta [tex]= 22.95[/tex]
Step-by-step explanation:
The resultant velocity vr = vp + vw
vp = vector velocity of plane and
vw = vector velocity of wind
vr = vector resultant velocity
in one hour the plane travels 540 miles and hence the speed is 540 mph
Hence vr = [tex]540[/tex]
vp = 486.22 j + 205.9 j
Theta
[tex]= tan^{-1}\frac{205.9}{486.22} \\= 22.95[/tex]
Plz help me step by step explanation would help for work plzzzz And Thank you
Answer:
Step-by-step explanation:
5z=75
5z/5=75/5
z=15
A rectangle is 2/5 inches long and
1/3 inches wide what is the area of the rectangle
Answer:
2/15 inches
Step-by-step explanation:
(2/5)*(1/3)=2/15in
Can someone please help me with this question.Select all the expressions equivalent to:
20a + 10b
a:5(4a + 2b)
b:10(2a + b)
C:2(10a + 5)
D:2(10a + 5b)
E:5(4a - 2b)
Answer:
a
b
d
i did this for notes really helps
Parallel lines s and t are cut by a transversal, r, as shown. Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are blank, blank, 1, (5 x minus 4) degrees; the angles formed with r and t are blank, blank, 94 degrees, blank. What is the value of x to the nearest whole number? 18 20 86 94
Answer:
18
Step-by-step explanation:
From the above question,
We have the Algebraic expression
(5x - 4)° + 94° = 180°
5x - 4° + 94° = 180°
5x + 90° = 180°
5x = 180° - 90°
5x = 90°
x = 90°/5
x = 18
Answer:
18
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!
Answer:
4 because 5 times 4 is 20 and 3 times 4 is 12
Answer:
c
switch them and then divide
Good luck:)
I am not very good at math, and my daughter finished her math assignment and wasn't sure if she did everything correctly. Can someone make sure this is correct?
Answer:
I think its correct I don't know tho
Step-by-step explanation:
What is the answer for g 3= g/3=-9
Answer:
1 = -9
Step-by-step explanation:
Just substitute 3 for g
then 3/3 = 1
A group of friends were working on a student film that had a budget of $1200. They used $756 of their budget on props. What percentage of their total budget did they spend on props?
Answer: 63
Step-by-step explanation:
756/x = 1200/100
Cross multiply
75600 divided by 1200x
= 63
The percentage of budget used by them is 63%, the calculation is done by using the percentage used method.
Percentage-based problem:What information do we have?
Amount of budget = $1200
Amount of budget used = $756
Percentage of budget used = [Amount of budget used / Amount of budget]100
Percentage of budget used = [756 / 1200]100
Percentage of budget used = 63%
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Please answer this immediately pleasee
Please i need it now
(10^2 )^3
i need some help
Answer: 10^6
Step-by-step explanation:
When you take a power to a power, you can multiply the two powers:
10^6
Answer:
10^6 hope this helps you
f (x) = 3x+2 / x-1 untuk x ≠ 1, maka invers fungsi f (x) adalah
Answer:
Step-by-step explanation:
hello : F (x) = 3x+2 / x-1
let : F (x) = y.....x ?
y= 3x+2 / x-1
y(x-1) =3x+2
yx-y= 3x+2
yx-3x = y+2
x(y-3) = y+2
for y ≠ 3
x= (y+2)/(y-3)
invers fungsi f (x) : g(x) = (x+2)/(x-3) ..... x ≠ 3
[tex]2 \sin(x) - \sqrt{3} = 0[/tex]
[tex] when\frac{\pi}{2} \leqslant x \leqslant \pi[/tex]
Given:
The equation is
[tex]2\sin x-\sqrt{3}=0[/tex]
When [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
To find:
The value of x.
Solution:
We have,
[tex]2\sin x-\sqrt{3}=0[/tex]
It can be written as
[tex]2\sin x=\sqrt{3}[/tex]
[tex]\sin x=\dfrac{\sqrt{3}}{2}[/tex]
It is given that [tex]\dfrac{\pi}{2}\leq x\leq \pi[/tex].
[tex]\sin x=\sin \left(\pi-\dfrac{\pi}{3}\right)[/tex]
[tex]x=\dfrac{3\pi-\pi}{3}[/tex]
[tex]x=\dfrac{2\pi}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2\pi}{3}[/tex].
Help?
1. List the terms in the expression using a comma to separate each term.
This question will be graded by your teacher. *
10x + 5 + 3x + 1
Vhur answer
2. list the coefficients in the expression,
Answer:
10x, 5, 3x, 1 There are four terms
2) The coefficients are 10 and 3
compllete the values for x + 2y = 7
You need to cross a canal and want to determine the distance across the opposite side. Since you're able to take measurements on your side of the canal, you come up with 40 ft. and 16 ft. Find the distance x across the canal . Show all work
Answer:
36.7 ft
Step-by-step explanation:
Measurements for the sides of the canal is given as: 40 ft. and 16 ft.
You solve the above question using Pythagoras Theorem
The distance across the canal is calculated as:
√(40² - 16²)
= √(1344)
= 36.66060556 ft
Approximately = 36.7 ft
Therefore, the distance x across the canal = 36.7 ft
Which rational expression is equal to a positive whole number when evaluated?
8 1/3
15 1/5
212
12 1/4
Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
A) -3
B) -4/5
C) 4/5
D) 3
what is2/3b - 1/4b? Please help- also has to be simplified
Answer:5/12b
Step-by-step explanation:
Answer:
5/12b
Step-by-step explanation:
2/3= 8/12
1/4= 3/12
8/12-3/12= 5/12 then put the b at the end,
5/12b
5/12 is already in simplest form
What is the least common multiple of 3, 2, and 9?
Answer:
18 is the LCM
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 feet, what is the distance (x) from the plane (P) to the observer (O)?
A right triangle is shown with angle O marked 42 degrees, hypotenuse marked x, and height marked 15,000 feet.
10,035 feet
16,648 feet
20,188 feet
22,417 feet
Answer:
22,417
Step-by-step explanation:
Just took the test.
Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Given information-The observer angle to the plane is 42 degrees.
The height of the plane is 15000 feet.
As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,
[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]
Thus the base of the right triangle is 16660 feet.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.
For the given problem the the hypotenuse side is x feet.
[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]
Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
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will give brainliest please help
Answer:
16g + 24 - (13g- 15)
length - width
perimeter = 2(length) - 2(width)
2(16g+ 24) + 2(13g-15)
32g + 48 + 26g - 30
58g + 18
six times the quantity two x plus three y
Answer:
12x + 18y
Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:
2x + 3y
Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:
6(2x +3y)
If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a(b+c)=ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:
6(2x +3y) = 6*2x + 6*3y = 12x + 18y
So, "six times the quantity two x plus three y" is 12x + 18y
Step-by-step explanation:
Answer:
6(2x+3y)
Step-by-step explanation:
Jean and Sarah are buying tubs of ice cream. 2 scoops of ice cream are twice the price of 1 scoop of ice cream. Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. Sarah spends 2.50 € less than Jean.
Answer:
The answer is below
Step-by-step explanation:
Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x
Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:
Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x
Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:
Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x
Sarah spends 2.50 € less than Jean. Therefore:
Money spent by Sarah = Money spent by Jean - 2.5
8x = 10x - 2.5
2x = 2.5
x = €1.25
Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.
Money spent by Jean = 10x = 10(1.25) = €12.5
Money spent by Sarah = 8x = 8(1.25) = €10
A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.
Answer:
2009.6 and 13824 minutes and 230.4 hours
Step-by-step explanation:
v=3.14 x 4 x 2 x 80= 2009.6
cual es el opuesto de -5
Answer:
I think number 5
Solve the system of linear equations
Answer:
There are infinite answers. it is the same line
Answer:
Infinite solutions
Step-by-step explanation: